Question

If 2x, x+10 and 3x+2 are in ap then find the value of x
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Answer 1

Answer:

X=6

Step-by-step explanation:

Given 2x,x+10,3x+2 are three consecutive terms in A.P

We know that,

Difference of any two consecutive terms in A.P are equal

(x+10)-2x = (3x+2)-(x+10)

=> x+10-2x = 3x+2-x-10

=> 10-x=2x-8

=> -x-2x = -8-10

=> -3x = -18

Therefore,

x = 6

Hope this helps you..

Answer 2

Answer:

Here X = 7

Step-by-step explanation:

We know that

(X + 10) - (2X) = Common difference.

Also (3X + 2) - (X + 10) = Common difference.

Therefore,

(X + 10) - (2X) = (3X + 2) - (X + 10)

-X + 10 = 2X - 8

-3X = -18

X = 6

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